Yes it uses the K20, I think you may be confusing the threat model here. If you grounded the 6 capacitive touch buttons the device would not work at all so there would be no need for an RNG. The RNG is used for things like creating keys, in order to get to the point where you are creating keys you would have to be able to enter a PIN on your device by physically touching the capacitive touch buttons. As you do this the readings from your skin is input to the RNG. I hope this explanation makes it clear why this attack isn't possible.
It seems pretty bad that merely grounding 8 pins on this device will reduces its entropy to basically to a handful of noise bits from the ADC?